improve acceptance simplifications using useless colors
This fixes issue #418. * spot/twa/acc.cc, spot/twa/acc.hh (acc_cond::acc_code::useless_colors_patterns): New method to detect patterns of colors allowing other colors to be added or removed at will. * spot/twaalgos/cleanacc.cc (simplify_acceptance_here): Use the above patterns to remove some useless colors from transitions and hope that this can help simplify the acceptance condition. * spot/twaalgos/degen.cc (propagate_marks_vector): Use the pattern to add more colors. * tests/core/ltl2tgba2.test: Add the test case from issue #418. * tests/core/ltl2dstar4.test, tests/core/satmin3.test, tests/core/sccdot.test, tests/core/sim3.test, tests/python/automata.ipynb, tests/python/decompose.ipynb, tests/python/merge.py, tests/python/pdegen.py, tests/python/remfin.py, tests/python/toparity.py, tests/python/tra2tba.py: Adjust all test cases. * NEWS: Mention this new feature.
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17 changed files with 412 additions and 287 deletions
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@ -1326,6 +1326,81 @@ namespace spot
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return rescode;
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}
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namespace
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{
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static acc_cond::mark_t
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gather_used_colors(const acc_cond::acc_word* pos)
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{
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acc_cond::mark_t res{};
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auto start = pos - pos->sub.size;
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do
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{
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switch (pos->sub.op)
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{
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case acc_cond::acc_op::And:
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case acc_cond::acc_op::Or:
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--pos;
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break;
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case acc_cond::acc_op::Fin:
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case acc_cond::acc_op::Inf:
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case acc_cond::acc_op::FinNeg:
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case acc_cond::acc_op::InfNeg:
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res |= pos[-1].mark;
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pos -= 2;
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break;
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}
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}
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while (pos > start);
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return res;
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}
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}
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std::vector<std::pair<acc_cond::mark_t, acc_cond::mark_t>>
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acc_cond::acc_code::useless_colors_patterns() const
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{
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// [({y₁,y₂,...,yₙ},{x₁,x₂,...,xₙ}),...]
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std::vector<std::pair<acc_cond::mark_t, acc_cond::mark_t>>
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patterns;
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acc_cond::mark_t used_once = used_once_sets();
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if (!used_once)
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return patterns;
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auto pos = &back();
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auto end = &front();
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while (pos > end)
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{
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switch (pos->sub.op)
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{
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case acc_cond::acc_op::And:
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case acc_cond::acc_op::Or:
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{
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auto expect = pos->sub.op == acc_cond::acc_op::Or ?
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acc_cond::acc_op::Inf : acc_cond::acc_op::Fin;
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for (auto p = pos - 1, pe = pos - pos->sub.size;
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p >= pe; p -= p->sub.size + 1)
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if (p->sub.op == expect)
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{
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acc_cond::mark_t rem{};
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for (auto q = pos - 1; q >= pe; q -= q->sub.size + 1)
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if (p != q)
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rem |= gather_used_colors(q);
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rem &= used_once;
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if (rem)
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patterns.emplace_back(p[-1].mark, rem);
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}
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--pos;
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break;
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}
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case acc_cond::acc_op::Fin:
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case acc_cond::acc_op::Inf:
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case acc_cond::acc_op::FinNeg:
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case acc_cond::acc_op::InfNeg:
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pos -= 2;
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break;
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}
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}
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return patterns;
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}
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bool
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acc_cond::acc_code::is_parity_max_equiv(std::vector<int>& permut,
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unsigned new_color,
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@ -1330,6 +1330,20 @@ namespace spot
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/// \brief Return the set of sets appearing in the condition.
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acc_cond::mark_t used_sets() const;
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/// \brief Find patterns of useless colors.
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///
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/// If any subformula of the acceptance condition looks like
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/// (Inf(y₁)&Inf(y₂)&...&Inf(yₙ)) | f(x₁,...,xₙ)
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/// or (Fin(y₁)|Fin(y₂)|...|Fin(yₙ)) & f(x₁,...,xₙ)
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/// then for each transition with all colors {y₁,y₂,...,yₙ} we
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/// can add or remove all the xᵢ that are used only once in
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/// the formula.
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///
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/// This method returns a vector of pairs:
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/// [({y₁,y₂,...,yₙ},{x₁,x₂,...,xₙ}),...]
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std::vector<std::pair<acc_cond::mark_t, acc_cond::mark_t>>
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useless_colors_patterns() const;
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/// \brief Return the sets that appears only once in the
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/// acceptance.
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///
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@ -617,6 +617,33 @@ namespace spot
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}
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return aut;
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}
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// If any subformula of the acceptance condition looks like
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// (Inf(y₁)&Inf(y₂)&...&Inf(yₙ)) | f(x₁,...,xₙ)
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// then for each transition with all colors {y₁,y₂,...,yₙ} we
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// can remove all the xᵢ that are used only once in the formula.
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//
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// See also issue #418.
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static bool
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remove_useless_colors_from_edges_here(twa_graph_ptr aut)
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{
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// [({y₁,y₂,...,yₙ},{x₁,x₂,...,xₙ}),...]
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auto patterns = aut->get_acceptance().useless_colors_patterns();
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if (patterns.empty())
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return false;
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bool changed = false;
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for (auto& e: aut->edges())
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for (auto& p: patterns)
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if (p.first.subset(e.acc))
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if (auto nacc = e.acc - p.second; nacc != e.acc)
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{
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e.acc = nacc;
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changed = true;
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}
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return changed;
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}
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}
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@ -632,7 +659,8 @@ namespace spot
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aut->set_acceptance(aut->acc().unit_propagation());
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simplify_complementary_marks_here(aut);
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fuse_marks_here(aut);
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if (old == aut->get_acceptance())
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bool changed = remove_useless_colors_from_edges_here(aut);
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if (!changed && old == aut->get_acceptance())
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break;
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}
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cleanup_acceptance_here(aut, true);
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@ -1108,13 +1108,23 @@ namespace spot
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else
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si = new scc_info(aut);
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unsigned ns = aut->num_states();
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acc_cond::mark_t allm = aut->acc().all_sets();
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unsigned es = aut->edge_vector().size();
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auto patterns = aut->get_acceptance().useless_colors_patterns();
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std::vector<acc_cond::mark_t> marks(es, acc_cond::mark_t{});
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const auto& edges = aut->edge_vector();
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for (unsigned e = 1; e < es; ++e)
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marks[e] = edges[e].acc;
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{
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acc_cond::mark_t m = edges[e].acc;
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// Add as many useless colors as possible.
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for (auto& p: patterns)
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if (p.first.subset(m))
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m |= p.second;
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marks[e] = m;
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}
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std::vector<acc_cond::mark_t> common_in(ns, allm);
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std::vector<acc_cond::mark_t> common_out(ns, allm);
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